length n = 138
dimension k = 7
alphabet length q = 2

minimum distance d = 68

generator matrix:
000000000000000000000000000100000111110000011111000000000011111111110000000000111111111100000111111111111111111111111111111111111111111111
000000000000000000000000001011111000001111100000111111111100000000001111111111000000000011111000001111111111111111111111111111111111111111
000010000111111011110111110000001000010000100001000000111100000011110000111111000011111101111011110000100001000000111100001111110111101111
000100111000111101111011110000010000100001000010000111000100011100010111000111011100011110111101110001000010000111000101110001111011110111
001001011011001110111101110000100001000010000100011001001001100100101011011001101101100111011110110010000100011001001010110110011101111011
010001101101010111011110110001000010000100001000101010010010101001001101101010110110101011101111010100001000101010010011011010101110111101
100001110110100111101111010010000100001000010000110100100011010010001110110100111011010011110111101000010000110100100011101101001111011110

projective group of automorphisms generated by:
0100000
1000000
0010000
0001000
0000100
0000001
0000010

1000000
0100000
0000010
0010000
0001000
0000100
0000001